Berkeley Lectures on p-adic Geometry

2020 ◽  
Author(s):  
Peter Scholze ◽  
Jared Weinstein
Keyword(s):  
Moduli Spaces ◽  
Reductive Group ◽  
Arithmetic Geometry ◽  
Mixed Characteristic ◽  
Algebraic Spaces ◽  
New Ideas ◽  
The Subject ◽  
Perfectoid Spaces ◽  
Divisible Groups ◽  
The University

This book presents an important breakthrough in arithmetic geometry. In 2014, this book's author delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, the author introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. This book shows that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. The book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained.

“Systems”, Strengths, Weaknesses and Challenges

2017 ◽  
Vol 4 (1) ◽  
pp. 49-59
Author(s):  
Frank Stowell
Keyword(s):  
Action Research ◽  
Systems Thinking ◽  
Research Funding ◽  
Cumulative Effect ◽  
Research Programme ◽  
Common Reason ◽  
New Ideas ◽  
The Subject ◽  
The University

Systems and Cybernetics no longer occupies the position, in academic circles, it once did. There are many reasons why this is the case but a common reason given is the lack of research funding for the subject. The knock-on effect is that the subject has fewer 'champions' and as a consequence is less prominent then it once was. There are many factors that mitigate against research funding for the domain but the cumulative effect is that there are few (if any) new ideas generated now which in turn is having an impact upon the number of academics attracted to it. In this paper the author revisits the action research programme at the University of Lancaster. This project contributed valuable insights into organisational inquiry and the nature of Systems thinking for over 30 years. In this paper the author revisits the programme to discover if there are lessons to be learnt that may be adopted to help provide a means of re-establishing the profile of the domain.

Rodney Howard Hilton 1916–2002

2005 ◽  
Author(s):  
Christopher Dyer
Keyword(s):  
Social History ◽  
Communist Party ◽  
Karl Marx ◽  
Class Conflict ◽  
University Of Oxford ◽  
International Reputation ◽  
New Ideas ◽  
The Subject ◽  
The University ◽  
Foreign Ideas

Rodney Howard Hilton (1916–2002), a Fellow of the British Academy, was born in Middleton, England, to John James Hilton and Anne Howard Hilton. As a history undergraduate between 1935 and 1938, Hilton was attracted to the medieval period by the teaching of two outstanding Balliol scholars, Vivian Galbraith and Richard Southern. At the University of Oxford, he was influenced by ‘foreign ideas’ and joined the Communist Party. By 1956, Hilton had established an international reputation as an authority on the medieval economy in general, and in particular had put forward new ideas about social class, conflict, the crisis on feudalism, and the origins of capitalism. He was inspired by the writings of Karl Marx, Nikolai Lenin, and their more recent disciples, and applied their ideas. A constant theme running through all Hilton’s work was his commitment to the study of localities. He had a major role in making the subject of medieval economic and social history a lively field of enquiry and debate, which is a legacy that continues into the new century.

scholarly journals A LIGA DE NEUROCIÊNCIAS: A COMPLEMENTAÇÃO ACADÊMICA NOS ESTUDOS NEUROLÓGICOS COM BASE EM AÇÕES DE ENSINO, PESQUISA E EXTENSÃO

2014 ◽  
Vol 5 (2) ◽  
pp. 47-53
Author(s):  
Carlos Henrique Ferreira Camargo ◽  
João Remí Freitas Júnior ◽  
Karine Cim Assenço ◽  
Eduardo Antunes Martins ◽  
Marcelo Rezende Young-Blood
Keyword(s):  
Selection Process ◽  
Clinical Neurology ◽  
Cerebrovascular Accidents ◽  
Palabras Clave ◽  
Education Community ◽  
New Ideas ◽  
The Subject ◽  
Institutional Relations ◽  
Research Students ◽  
The University

A Liga Acadêmica de Neurociências é um projeto extensionista composto por um grupo de estudantes, coordenado por professores da UEPG – Universidade Estadual de Ponta Grossa, dedicados a se aprofundarem nas ciências neurológicas, ampliarem o conhecimento nas principais doenças da área das neurociências e atenderem as demandas da população sobre o tema. Os membros são designados por meio de um processo seletivo que ocorre anualmente. A liga abrange as três modalidades clássicas de aprendizado: Ensino, Pesquisa e Extensão. Na área de Ensino, há reuniões semanais sobre um assunto preestabelecido nas áreas de neurologia clínica, psiquiatria e neurocirurgia. Na Pesquisa, os alunos que apresentam interesse realizam projeto em iniciação científica sob a coordenação dos professores responsáveis pela liga. Por fim, na Extensão, os acadêmicos acompanham atendimentos nos ambulatórios de Neurologia do HURCG – Hospital Universitário Regional dos Campos Gerais – e praticam atividades direcionadas para a população, como palestras sobre AVC (Acidente Vascular Cerebral). A cada ano, novas ideias têm sido implantadas para enriquecer o conhecimento dos acadêmicos. Palavras-chave: Instituições Acadêmicas, Neurociências, Educação Superior, Educação de Graduação em Medicina, Relações Comunidade-Instituição. The Neuroscience League: the academic complementation at neurological studies based on actions of education, research and extension Abstract: The Neuroscience Academic League is a university extension project composed of students supervised by professors from UEPG (Universidade Estadual de Ponta Grossa, Paraná, Brazil). This group is dedicated to delving into neurosciences, expanding their knowledge in the fields of major neuroscience-related diseases, as well as meeting the demands of the population on the subject. The members of the project are appointed through a selection process which takes place annually. The league covers the three classical learning methods: Teaching, Research and Extension. In the teaching, there are weekly meetings on predetermined subject fields of clinical neurology, psychiatry and neurosurgery. In the research, students who show interest can take part in undergraduate projects under the supervision of the professors in charge of the league. And finally, in the university extension the students can provide assistance in the Neurology ambulatories at HURCG (Hospital Universitário Regional dos Campos Gerais) and develop other activities such as lectures to the general public on the topic of cerebrovascular accidents (CVA). Every year, new ideas have been implemented to enrich the knowledge of the participants involved. Keywords: Academic Institutions, Neurosciences, Higher Education, Undergraduate Medical Education, Community-Institutional Relations. La Liga de Neurociencia: los estudios de complementación académica en neurologia basados en acciones de docencia, investigación y extensión Resumen: La Liga Académica de Neurociencias es un proyecto de extensión que comprende un grupo de alumnos, coordinados por profesores de la UEPG - Universidade Estadual de Ponta Grossa, Paraná, Brasil, dedicado a profundizar en las neurociencias, ampliar los conocimientos en el área de las enfermedades principales relacionadas con las neurociencias y satisfacer las demandas de la población sobre el tema. Los miembros son nombrados a través de un proceso de selección que se lleva a cabo anualmente. La liga cubre los tres métodos clásicos de aprendizaje: Enseñanza, Investigación y Extensión. En la Enseñanza, hay reuniones semanales en áreas predeterminadas de clínica de neurología, psiquiatría y neurocirugía. En la Investigación, los estudiantes que tienen interés realizan proyectos de investigación, bajo la supervisión de los profesores de la liga. Por último, en la extensión, académicos acompañan asistencias en las consultas externas de Neurología en HURCG - Hospital de Campos Gerais de la Universidade Regional - y participan en actividades dirigidas a la población como conferencias sobre accidentes cerebrovasculares. Cada año, nuevas ideas se han aplicado para enriquecer el conocimiento de los académicos. Palabras-clave: Instituciones Académicas, Neurociencias, Educación Superior, Educación Médica de Pregrado, Relaciones comunitario-institucionales.

Moduli spaces of shtukas

2020 ◽  
pp. 215-224
Author(s):  
Peter Scholze ◽  
Jared Weinstein
Keyword(s):  
Finite Group ◽  
Finite Field ◽  
Moduli Spaces ◽  
Reductive Group ◽  
Connected Component ◽  
Langlands Correspondence ◽  
Mixed Characteristic ◽  
Projective Scheme ◽  
Primary Means ◽  
A Finite Group

This chapter examines the moduli spaces of mixed-characteristic local G-shtukas and shows that they are representable by locally spatial diamonds. These will be the mixed-characteristic local analogues of the moduli spaces of global equal-characteristic shtukas introduced by Varshavsky. It may be helpful to briefly review the construction in the latter setting. The ingredients are a smooth projective geometrically connected curve X defined over a finite field Fq and a reductive group G/Fq. Each connected component is a quotient of a quasi-projective scheme by a finite group. From there, it is possible to add level structures to the spaces of shtukas, to obtain a tower of moduli spaces admitting an action of the adelic group. The cohomology of these towers of moduli spaces is the primary means by which V. Lafforgue constructs the “automorphic to Galois” direction of the Langlands correspondence for G over F.

MANAGEMENT OF THE SUCCESS OF STUDENT’S LEARNING BASED ON THE MARKOV MODEL

2018 ◽  
pp. 4-11
Author(s):  
M. V. Noskov ◽  
M. V. Somova ◽  
I. M. Fedotova
Keyword(s):  
Information System ◽  
Markov Process ◽  
Continuous Time ◽  
Information Technologies ◽  
Educational Process ◽  
Automated Information System ◽  
The Subject ◽  
The University ◽  
Independent Work ◽  
Near Future

The article proposes a model for forecasting the success of student’s learning. The model is a Markov process with continuous time, such as the process of “death and reproduction”. As the parameters of the process, the intensities of the processes of obtaining and assimilating information are offered, and the intensity of the process of assimilating information takes into account the attitude of the student to the subject being studied. As a result of applying the model, it is possible for each student to determine the probability of a given formation of ownership of the material being studied in the near future. Thus, in the presence of an automated information system of the university, the implementation of the model is an element of the decision support system by all participants in the educational process. The examples given in the article are the results of an experiment conducted at the Institute of Space and Information Technologies of Siberian Federal University under conditions of blended learning, that is, under conditions when classroom work is accompanied by independent work with electronic resources.

A Quantitative Assessment of the Need for Offering Counselling Services to Medical Students attending University of Zambia, School of Medicine.

2020 ◽  
Vol 7 (2) ◽  
pp. 93-103
Author(s):  
Gretchen Slover
Keyword(s):  
Medical Students ◽  
Counseling Services ◽  
Student Responses ◽  
Counselling Services ◽  
School Of Medicine ◽  
Comprehensive Picture ◽  
Fourth Year Medical Students ◽  
The Subject ◽  
The University ◽  
Therapy Sessions

Background: This research was birthed in 2017 during a trip to Lusaka, Zambia, with the purpose of offering fourth-year, medical students attending the University of Zambia, School of Medicine, lectures on psychology topics as part of their clinical studies.  Students were also offered brief therapy sessions where they could process thoughts and feelings causing them internal struggles.  The subject of offering counseling on a regular basis was randomly discussed with the students.  From these discussions the need for this research became evident, with the intent of becoming the launching pad to brainstorm the most effective ways of developing a plan to offer counseling services for all medical students attending the University of Zambia School of Medicine. Methods: An-experimental research design, consisting of completion of a 12-item questionnaire administered by paper and pen. The inclusion criteria were the fourth year, medical students attending the University of Zambia, School of Medicine. Results:  The student responses revealed that most of them had little to no experience with counseling services, but a strong desire for them. Discussion: The goal of this study was to simply establish a need for an on-campus counseling service, the need of which has been established by the very students who would benefit.  With the acceptance of this need, the future plan is to explore the different ways in which this need can be fulfilled with minimal costs to the Medical School Program. Conclusion:  This study is the first step towards identifying the needs of the medical students and sets the ground-work for further research into the specific areas of need and mental health challenges.  More specificity in the area of demographics of students will produce a more comprehensive picture of the areas of concentration for the therapists offering services.

Hendrik Draye, tegenstander van de uitvoering van de doodstraf

2006 ◽  
Vol 65 (2) ◽  
pp. 134-152
Author(s):  
Luc Vandeweyer
Keyword(s):  
Death Penalty ◽  
Second World War ◽  
World War ◽  
Penal Policy ◽  
Catholic University ◽  
The Subject ◽  
The University ◽  
Second World ◽  
Young Professor

Hendrik Draye, opponent of the carrying out of the death penaltyIn this annotated and extensively contextualised source edition, Luc Vandeweyer deals with the period of repression after the Second World War. In June 1948, after the execution of two hundred collaboration-suspects in Belgium, the relatively young linguistics professor at the Catholic University of Leuven, Hendrik Draye, proposed, on humanitarian grounds, a Manifesto against the carrying out of the death penalty. Some colleagues, as well as some influential personalities outside the university, reacted positively; some colleagues were rather hesitant; most of them rejected the text. In the end, the initiative foundered because of the emphatic dissuasion by the head of university, who wanted to protect his university and, arguably, the young professor Draeye. The general public’s demand for revenge had not yet abated by then; moreover, the unstable government at that time planned a reorientation of the penal policy, which made a polarization undesirable. Nevertheless, Luc Vandeweyer concludes, "the opportunity for an important debate on the subject had been missed".

The Oxford Group and the Emergence of Animal Rights

2020 ◽  
Author(s):  
Robert Garner ◽  
Yewande Okuleye
Keyword(s):  
Animal Rights ◽  
Intellectual Development ◽  
Peter Singer ◽  
Animal Rights Movement ◽  
Friendship Group ◽  
University Of Oxford ◽  
Short Period ◽  
New Ideas ◽  
Oxford Group ◽  
The University

This book is an account of the life and times of a loose friendship group (later christened the Oxford Group) of ten people, primarily postgraduate philosophy students, who attended the University of Oxford for a short period of time from the late 1960s. The Oxford Group, which included—most notably—Peter Singer and Richard Ryder, set about thinking about, talking about, and promoting the idea of animal rights and vegetarianism. The group therefore played a role, largely undocumented and unacknowledged, in the emergence of the animal rights movement and the discipline of animal ethics. Most notably, the group produced an edited collection of articles published as Animals, Men and Morals in 1971 that was instrumental in one of their number—Peter Singer—writing Animal Liberation in 1975, a book that has had an extraordinary influence in the intervening years. The book serves as a case study of how the emergence of important work and the development of new ideas can be explained, and, in particular, how far the intellectual development of individuals is influenced by their participation in a creative community.

scholarly journals EXTREMAL CASES OF RAPOPORT–ZINK SPACES

2021 ◽  
pp. 1-56
Author(s):  
Ulrich Görtz ◽  
Xuhua He ◽  
Michael Rapoport
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Complete List ◽  
Qualitative Properties ◽  
Model Case ◽  
Divisible Groups

Abstract We investigate qualitative properties of the underlying scheme of Rapoport–Zink formal moduli spaces of p-divisible groups (resp., shtukas). We single out those cases where the dimension of this underlying scheme is zero (resp., those where the dimension is the maximal possible). The model case for the first alternative is the Lubin–Tate moduli space, and the model case for the second alternative is the Drinfeld moduli space. We exhibit a complete list in both cases.

The Drama of the Holocaust: Issues of Choice and Survival

1987 ◽  
Vol 3 (12) ◽  
pp. 337-348
Author(s):  
Robert Skloot
Keyword(s):  
University Of Wisconsin ◽  
The Holocaust ◽  
The Subject ◽  
Bruno Bettelheim ◽  
The University

One of the ways in which Jews and others have sought somehow to assimilate the knowledge of the Nazi Holocaust has been through the theatrical expression of the appalling dilemmas it posed. Implicitly or explicitly, however, the process of ‘shaping’ that this involves forces an attitude to be taken by the dramatist towards the meaning of ‘choice’ in such circumstances, and the ‘acceptable’ price of possible survival. In his anthology The Theatre of the Holocaust (1982), Robert Skloot assembled four plays which exemplified the possible ‘attitudes to survival’, and here he relates them to the ideas of Bruno Bettelheim, Terrence Des Pres, and other writers on the subject, in an attempt to assess how fully and honestly theatre is able to reflect the issues involved. Robert Skloot is Professor of Theatre and Drama at the University of Wisconsin, Madison, and was Fulbright Lecturer in Israel in 1980–81. He has also edited a collection of essays, ‘The Darkness We Carry’: the Drama of the Holocaust, due for publication in the spring of 1988.

Sign in / Sign up

Export Citation Format

Share Document